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Boundary layer MHD flow of a viscoelastic fluid over a porous quadratic stretching sheet

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EN
Abstrakty
EN
A mathematical analysis on the boundary layer MHD flow of a viscoelastic fluid over a porous stretching sheet has been presented in this paper. A typical choice of quadratic stretching of the boundary, which generates a quadratic part in velocity parallel to the boundary sheet and a linear mass flux part in the velocity normal to the stretching sheet, has been assumed. Streamline patterns and skin friction coefficients are discussed for various values of nondimensional physical parameters. The result of the analysis reveals that the combined effect of the non-dimensional viscoelastic parameter and Hartmann number is to increase significantly the values of skin friction coefficient, whereas, the combined effect of the nondimensional constant mass flux parameter and modified linear mass flux parameter is to reduce largely the values of skin friction coefficient. For positive values of the linear mass flux parameter the stream functions attain a positive slope away from the origin while they attain a negative slope everywhere for zero value. The limiting cases of our results yield the results of Andersson (1992) and Kumaran and Ramanaiah (1996).
Rocznik
Strony
267--279
Opis fizyczny
Bibliogr. 30 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics Gulbarga University Gulbarga-585 106 Karnataka, INDIA
Bibliografia
  • [1] Acharya M., Sing L.P. and Dash G.C. (1999): Heat and mass transfer over an accelerating surface with heat source in presence of suction and blowing, - In. J. Eng. Sc., vol.3 7, pp.189- 211.
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  • [5] Andersson H.I. (1992): Note: MHD flow of a viscoelastic fluid past a stretching surface. - Acta Mech., vol.95, pp.227-230.
  • [6] Banks W.H.H. (1983): Similarity solutions of the boundary-layer equations for a stretching wall. - J. Mecanique Theorique et Appliquee, vol.2, pp.375-392.
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  • [8] Chang W.D. (1989): The non-uniqueness of the flow of a viscoelastic fluid over a stretching sheet. - Quart. of Appl. Math., vol.47, No.2, pp.365-366.
  • [9] Char M.I. (1994): Heat and mass transfer in a hydromagnetic flow of viscoelastic fluid over a stretching sheet. - J. of Math. Anal. Appl, vol.l86, pp.674-689.
  • [10] Chiam T.C. (1997): Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet. - Acta Mech., vol.122, pp. 169-179.
  • [11] Coleman B.D. and Noll W. (1960): An approximate theorem for functionals with applications in continuum mechanics. - Arch. Rat. Mech. Anal., vol.6, pp.355-378.
  • [12] Dandapat B.S. and Gupta A.S. (1989): Flow and hem transfer in a viscoelastic fluid over a stretching sheet. - Int. J. Non-Linear Mech., vol.24, No.3, pp.21 5-219.
  • [13] Dandapat B.S., Holmedal L.E. and Andersson H.I. (1994): Stability of flow of a viscoelastic fluid over a stretching sheet. - Arch. Mech., vol.46, No.6, pp.829-838.
  • [14] Dandapat B.S., Holmedal L.E. and Andersson H.I. (1998): On the stability of MHD flow of a viscoelastic fluid past a stretching sheet. - Acta Mechanica, vol. I 30, pp.143-146.
  • [15] Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Canad. J. of Chem, Eng. vol.55, pp.744-746.
  • [16] Kumaran V. and Rarnanaiah G. (1996): Note: A Note: on the flow over a stretching sheet. - Acta Mech., vol.l16, pp.229-233.
  • [17] Lawrence P.S. and Rao B.N. (1992): Heat transfer in the flow of a viscoelastic fluid over a stretching sheet. - Acta Mech., vol.93, pp.53-61.
  • [18] Markovitz H. and Coleman B.D. (1964): Advances in Applied Mechanics. - Academic Press, vol.8.
  • [19] Megahed A.A., Komy S.R. and Afify A.A. (2003): Similarity analysis in magnetohydrodynamics; Hall effect on free convection flow and mass transfer past a semi-infinite vertical flat plate. - Int. J. Non-Linear Mech. vol.38, pp.513-520.
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  • [21] Prasad K.V., Abel M.S. and Khan S.K. (2000): Mementum and heat transfer in viscoelastic fluid flow in a porous medium over a non-isothermal streching sheet . - Int. J. of Num. Method for Heat and Fluid Flow, vol.10, NO.8, pp.786-801.
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  • [23] Rajagopal K.R., Na T.Y and Gupta A.S. (1987): A non similar boundary layer on a stretching sheet in a non-Newtonian fluid with uniform free stream. - J. Math. Phys. Sc., vol.21, No.2, pp. 189-200.
  • [24] Rao B.N. (1996): Technical note: Flow of fluid of second grade over a stretching sheet. - lnt. J. Non-Linear Mech., vol.31, No.4, pp.547-550.
  • [25] Rollins D. and Vajravelu K. (1991): Heat transfer in a second order fluid over a continuous stretching surface. - Acta Mech., vol.89, pp.167-178.
  • [26] Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002): Heat and mass transfer in a viscoelastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation. - Heat and Mass Transfer, vol.38, pp.213-220.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0057
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